Radius of base of a right circular cone and a sphere is each equal to r. if the sphere and cone have same volume, the what is the height of the cone?

A double bed is marked at Rs. 7500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the Net selling price?

A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between ihe interest at the end of 2 years and that at the end of 4 years is ₹5,082. Find the sum (in ₹).

 A work can be completed by P and Q in 12 and 16 days respectively. With the help of R they can complete the work in 6 days and earned R. 3696. Then find the share of R. 

If 27 people, working 8 hours a day, can complete a task in 12 days, then in how many days will 18 people finish the task, working 9 hours a day?

3 year ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is:

The ratio of the volume of two right circular cylinder is 2 : 3. And the ratio of their radius is 1 : 2. Find the ratio of their heights?

If the perimeter of an equilateral triangle is 18 cm, then length of each median is